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HW Exponential Growth & Decay

Last updated over 2 years ago
18 questions
1


1

Round to the nearest hundredth (2 decimal places). Use mg as your units.

1

Round to the nearest hundredth (cent - 2 decimal places). Use $

1

A snowman weighs 108 lbs, but is losing 15% of its weight each day as it melts.


Does this represent growth or decay?

1

A snowman weighs 108 lbs, but is losing 15% of its weight each day.


What is the growth or decay rate for this snowman?

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A snowman weighs 108 lbs, but is losing 15% of its weight each day.


What is the growth or decay factor for this snowman?

1

A snowman weighs 108 lbs, but is losing 15% of its weight each day.


Write a function to represent the weight, W, of the snowman as a function of t in days.
Write your answer as W(t)=

1

A snowman weighs 108 lbs, but is losing 15% of its weight each day.

How many pounds does the snowman weigh after 4 days?
Round to the nearest tenth.

1

The median home price in Carlsbad in 2022 was $997,000. In 2021 it was $914,679.
What is the growth rate that homes are increasing by?
Round your answer to the nearest whole percent.
Hint: divide

1

The median home price in Carlsbad in 2022 was $997,000. In 2021 it was $914,679.
Estimate the median home price in 2026.
Use the growth rate you found in the previous problem.


Round to the nearest whole dollar.

1

$

1

1

1

Round to the nearest cent (2 decimal places).

1

Categorize each as exponential growth or exponential decay.

  • f(t)=32(1.23)^t
  • A $85,000 Mustang depreciates over the course of 12 years.
  • A $450,000 house now costs $493,000.
  • f(t)=5,000(0.89)^t
  • f(t)=9(1-.80)^t
  • f(t)=100(1+.02)^t
  • Exponential Growth
  • Exponential Decay
1

Review from last class!
What is the equation of the horizontal asymptote?

1

Select the transformations this graph has from the parent function y=(1/2)^x.
Then click 'show your work' and graph it!
You can also graph it on graph paper & upload a picture.

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What is the y-intercept?